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Local stability of Belief Propagation algorithm with multiple fixed points
Local stability Belief Propagation algorithm multiple fixed points
2012/9/19
A number of problems in statistical physics and computer science can be expressed as the computation of marginal probabilities over a Markov random field. Belief propagation, an iterative message-pass...
A Characterization of the Set of Fixed Points of the Quicksort Transformation
Quicksort fixed point smoothing transformation domain of attraction coupling integral equation
2009/5/4
The limiting distribution m of the normalized number of key comparisons required by the Quicksort sorting algorithm is known to be the unique fixed point of a certain distributional transformation T -...
Fixed Points of the Smoothing Transform：the Boundary Case
Fixed Points Smoothing Boundary Case
2009/4/8
Let $A=(A_1,A_2,A_3,ldots)$ be a random sequence of non-negative numbers that are ultimately zero with $E[sum A_i]=1$ and $E left[sum A_{i} log A_i right] leq 0$. The uniqueness of the non-negative fi...